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math.CA2022
The pseudoinverse of the Laplacian matrix: Asymptotic behavior of its trace
Fatih Ecevit, Cem Yalçın Yıldırım
In this paper we are concerned with the asymptotic behavior of \[ \operatorname{tr}(\mathcal{L}^+_{\rm sq}) = \frac{1}{4} \sum_{j,k=0 \atop (j,k) \neq (0,0)}^{n-1} \frac{1}{1-\frac…
math.NA2022
Asymptotic expansions of high-frequency multiple scattering iterations for sound hard scattering problems
Yassine Boubendir, Fatih Ecevit
We consider the two-dimensional high-frequency plane wave scattering problem in the exterior of a finite collection of disjoint, compact, smooth, strictly convex obstacles with Neu…